In order to properly give you advice, we need to know what the output is on your phono cartridge. (i.e. is it a MM or a MC, if the later, a high output or low output?)
Also, in reviewing your system, and looking at the list of phono preamp candidates you listed, it appears, (to me at least), that the rest of your system is well beyond these phono preamps, in terms of sonic quality. I would consider increasing your budget. Given that you are already listening to music on near SOTA components, to go down to merely good components might not really give you the sound you are looking for. (I believe that the phono preamp is the cornerstone of a good analog system. IMHO anyway.)
PS If you have not used your turntable, and therefore your cartridge, for a few years, it is possible (probable?) that the suspension on the cartridge has lost it flexibility, and therefore will not function as it once did. You will probably need to get a new cartridge, which means you should tailor the cartridge to your new phono preamp. (I highly recommend getting a MC cartridge myself.)
Also, in reviewing your system, and looking at the list of phono preamp candidates you listed, it appears, (to me at least), that the rest of your system is well beyond these phono preamps, in terms of sonic quality. I would consider increasing your budget. Given that you are already listening to music on near SOTA components, to go down to merely good components might not really give you the sound you are looking for. (I believe that the phono preamp is the cornerstone of a good analog system. IMHO anyway.)
PS If you have not used your turntable, and therefore your cartridge, for a few years, it is possible (probable?) that the suspension on the cartridge has lost it flexibility, and therefore will not function as it once did. You will probably need to get a new cartridge, which means you should tailor the cartridge to your new phono preamp. (I highly recommend getting a MC cartridge myself.)