Did exactly as OP last Christmas. Under instruction after reading on her I was bought a Merkur Futur and soap and nice brush as pressie. Got myself one of the blade selection packs as recommended here and you wouldn’t believe how different the different blades feel on your skin.Be prepared for a 2 month learning curve with a bit of blood! I’m now pretty reliable unless rushed and the get the best shave ever if I do it right.
As well as improving the technique, the best step forward was getting pre-shave oil. I’ve the blue beard one but I guess any would do. I currently use that along with the feather blades which seemed so much smoother that the others (for me!)