Hi there! I'm new so forgive is if the question is obvious. What's the current thinking on the best tyres make to go with the 95 840ci?

i would go by the car owner's manual or get a haynes manual it would also depend what wheels you've got on at the moment. maybe a visit to your local dealer will recommend to you a set/pair. are you asking due to the types of loads you carry or that it's an estate? either way most tyres have a load capacity on the tyre wall along with it's speed rating etc. if you just want cheap tyres look on ebay once you know what you're looking for. i hope this helps.

Your drivers door should have a sticker on it with the various tyre types and inflation pressures.
My 840Ci Sport has 245/40/18 on the front and 285/35/18 on the back, and all are Pirelli P Zero Rosso.
I think they are pretty good but I have used Bridgestone and Michelin on other cars and they've been fine as well.
Shop around for a good deal on one of these brands and you shouldn't go far wrong