Tube pre-amplification can be less costly than tube amplification. My opinion, In your case the best and least expensive way to add tubes to your system would be to replace your 801 integrated with one using tubes in the preamp stage. Check out the Vincent SV-500 as an example of one of the least expensive ones that I could recommend.
With a digital based system another way would be to purchase a DAC having a tube output stage. Check out Black Ice audio or MDHT DACs for a couple examples providing high value to $ spent.
Your 801 has a DAC, phonostage, preamp and amplifier all contained within a single box. Many components at a very modest price. Adding tubes to your system would require significant additional expense.