Recommend an amp + pre for ESL 57s and a new turntable (way out of my league)

I imagine that the 303 would be a good match on a budget, try to get a restored one.  I have used the Bedini 25/25 and it is a great sweet spot for a reasonable price.  You could post a "wanted" on USAM.

Whether the 303 is a good fit will depend on how much the OP wants to put into maintaining the electronics. These pieces are very old (as old as the speakers themselves) and have been known to go on the fritz if they have not been recently restored. I’m assuming the reissue versions are not being recommended as the OP’s budget is too low. Considering the OP is a newer enthusiast, I wouldn’t push him down that way, either new or used. But that’s just me  

@arg6442 One thing about cloned amps is that they tend to use similar circuitry, but typically cheaper components, especially in tbe transformers, which add a cashier, more fatiguing sound. Unless you can demo the unit, or if the price is simply too attractive, it’s best to demo with the speakers before committing. While the ST-70 likely sounds very good with the 57’s, I’d suggest looking at more modern sounding amps. The ST-70 is a bit rounded and lush, which is not necessarily a bad thing, but paired with the 57s, you may find yourself wanting more on the high frequencies that you may not be able to get. 

I don’t always recommend them, but some of Primaluna’s offerings, a Rogue Cronus, or Quicksilver’s amps can likely do the trick. They are a bit more linear to match the 57s, and then you can tailor them with tubes of your choice down the line. There may be other brands/models, but they are eluding me. $1,500 doesn’t leave you too many choices for both an amp and money left for good tubes. 

For a decent phono for not much money, look into a Pro-Ject Tube Box S or DS on the used market. They can generally be had for $250-350, and spending $100 on better tubes will take you really far with them. 

For used gear, scan hifishark.com, which aggregates results from multiple online marketplaces. They even have a sold price that may give you some sort of idea of what an item typically sold for, or at least listed for before it sold. Keep in mind some are sold at lower than list.

Berning EA-230

What luck, congrats, but you have heard 'be careful ..... bearing gifts',

That is a combo of 3 very unique vintage products that will require you researching, learning, acquiring a few tools and skills to get the best out of them.

Their age predicts maintenance may be needed as received or soon, so think about that.

I have inherited and been given some very nice equipment over the years, each is a fork in the road, chosen for you by friends and fate. 

I was given a Thorens TD124 with SME 3009 Tonearm, a wonderful combo, but I needed to restore both, and, when done, I found/learned the bearing design of the wonderful TT is very susceptible to vertical movement, and my wood floors are quite springy, so love it as I sat listening (after tip-toeing away), I had to make a change.

I still miss it, but, great as it was, it was not a good choice for this location. Are these gifts good you you and your location?

Those ESL speakers are special, however, most who keep them, to retain what they are best at, arrange the listening space around their design, and add supplemental bass, usually with it's own amplification. IOW, they are NOT full range speakers like you have had in the past.

Or, for some, perhaps you, your content, at not too high listening level, they are 'just what I always wanted'.

I don't want to be a downer, but don't rush in, you might want to sell these gifts and choose different speakers for instance, perhaps start with a good MM cartridge, move into MC moving coil and necessary pre-preamp later, and the TT, it is quite unique and it's parts are very old which is worrisome, perhaps it has been restored along the way, do you know?

The Moving Coil Cartridge's review

https://www.stereophile.com/content/miyajima-shilabe-phono-cartridge

It has specifics that I would not choose, it is what I (not everyone) consider a heavy tracker (lately I've gone from modern MC tracking at 2.0g back to vintage MM that track at 1.25g)

"It weighs 10.4gm. It's a low-compliance design designed to track at 2.5–3.2gm, which is unusually heavy for a modern cartridge" .

Do you have any knowledge of hours of play on it's stylus, or someone who can inspect it for you? I just won an auction at Yahoo Japan for a used AT160ml with beryllium cantilever, unknown hours, but I have Steve and Ray Leung at VAS just down the road to check for me.

Another cost effective option: musical reference rm-10 amplifier. Designed for the quads.