Recommendations for a modestly-priced audio system?


Gents,
My friend asked me to put together an audio system for her to replace her very old system.    She wants an integrated amp that will take an input from her TT.  God knows the condition of her cartridge and stylus!  There are boatloads of integrated amps with BT-streaming capabilities, which, when she comes to her senses, with get a Spotify/Tidal subscription and forget about her 40-year old collection of ragged vinyl.  Maybe not.  The amp needs to be BT-compatible... no extra components.  

Hopefully, the system will be simple:  an integrated amp and a pair of passive speakers.  The budget is about $1K but I could twist her arm a bit to get to $1.5K.  Recommendations for either the integrated amp and speakers would be very much appreciated, relying on the wealth of knowledge that you fellas have.  I will say that she has a pretty large LV room, sort of an "open room" arrangement, and will need speakers to sufficiently pressurize her large room.

Thanks for any and all input.      
whitestix
Also, I wouldn't suggest getting passive speakers with a $1k budget. Having to include decent speaker cables in the mix will push the quality of the whole system way down. The Vanatoo T1E alone ($600) would be a great buy, and I'd wager that it's literally impossible to build a passive system that could come anywhere close (regarding SQ) for the money.
This is a ‘no brainer’ the new Lyngdorf TDAI 1120 has it all, even Room Correction. The best £1K going

Klipsch RP-600M and the Vista Audio Spark. The Klipsch monitors really truck with few watts and the Spark is a wonderful class A/B compact amp. Then, add an Emotiva Bluetooth. The Emotiva sounds decent on it's own, but you can feed it to a better DAC via TOS later.