As for used records I personally do not buy them. If you do you will need a more aggressive record cleaning device. A "Spin Clean" is effective and inexpensive.
I do not clean new records. I just use the sweep arm. I have thousands of records and a $20,000 record playing device and I do not own a record cleaning machine. People will tell you that there is all sorts of garbage on new record. It all must vaporize when I open the jacket because none of it winds up on my stylus. I can go months between stylus cleanings and I examine my stylus routinely with a USB microscope. All I use is that sweep arm.
For people who insist on getting into this I suggest saving up and seeding your record collection with 40-50 new records. If you buy just a few records in the beginning you tend to play them over and over until you get bored with them. Then, you go out out and buy a few more repeating the process. What you wind up doing is building a collection of worn records you are tired of. Buy a bunch then add new ones on a monthly basis and you will build a collection of pristine records that remain novel.