$1k for a integrated, and $1k for a TT. Would go the used route.
Figure out what things you need and what things you want. That should help you figure out what to buy. With used, you are stuck with what is available.
1. Power (watts)
2. internal pre-amp (MC or MM&MC?)
3. internal DAC, streaming, or nothing
4. remote control?
5. size, where will it live, does it have proper ventilation?
6. EQ, room correction, tone controls
On the TT
1. size, do you have a space for it
2. MM or MC
3. Full auto, full manual, or in-between?
4. belt drive, direct, idler?
5. arm type, ease of use/setup
6. headhshell?