You're comparing 3 very different machines. Your question is asking about very old vintage and vintage - Garrard/Linn/Thorens.
Were it me, I'd use the budget on a new Rega P3 with a good cartridge and power supply unit. All Rega TT, Exact cartridge, and PSU would come in under your price, offer very good performance for the interim while you learn what it is you're looking for in vintage (other than price) and you might find that an upgrade isn't needed.
Rega's are famous for good PRAT.
Were it me, I'd use the budget on a new Rega P3 with a good cartridge and power supply unit. All Rega TT, Exact cartridge, and PSU would come in under your price, offer very good performance for the interim while you learn what it is you're looking for in vintage (other than price) and you might find that an upgrade isn't needed.
Rega's are famous for good PRAT.