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pretty self explanatory. Should I Use SRAM, DRAM or a different type?

For practicality and ease of design, use SRAM. Attach the address and data bus, R/WB qualified by O2 and your Chip select logic and you're running.

If you're worried about being "period correct", use DRAM. There is quite a bit of supporting circuitry needed to refresh the dram that will very much complicate your design.

Agreed, SRAM is easiest and best for most purposes. And don't worry too much if you don't have a round number: if you buy a 128k SRAM because it's a good price and a good package, and only use 48k of it, that's fine.

As the others suggested, go with SRAM. SRAM can be gotten in a variety of sizes, with the largest 5 volt-capable size being 512KB. I used a 128KB SRAM in my POC V1 series, grounded A16 and rigged up the glue logic to expose 52KB to the MPU ($0000-$CFFF).

Thank you all for the replies, I will most certainly go with SRAM, is the IDT 71256SA a good choice, It does not have 512Kbit of Storage (Half of that) But is one that i can acquire easily, i am not expecting to have 32KB of ram also, Closer To 24KB

From a quick (not very detailed) look at the data sheet, it looks like it will be perfectly fine. Do go through the 6502 primer before you get too far though.