Greetings from another UK member. :)
It's up to you but I personally wouldn't buy either razors or strops from Trumpers in London. They inflate their prices considerably because they have their long standing 'name' and because most of their customers are loaded and can afford it.
The best/cheapest place in the UK to buy razors/strops from is The Gentlemans Shop in Hungerford
http://www.gentlemans-shop.com/ . But You'll find that it's often cheaper to buy from Europe or the USA, particularly with the £/$ exchange rate. Plus if you buy from the USA you can get your razor honed by an expert so it's ready to shave, none of the UK dealers can offer this service.
Incidentally i was in Trumpers a while back and showed the manager my 'Tony Miller' hanging strop thich I had in my bag. He was very impressed with the high quality and workmanship, and actually looked quite embarassed when he heard how cheap it cost compared to the inflated prices Trumpers charge for their rebranded Dovo strops.
My advice would be not to buy from Trumpers unless you absolutely have to. If you're after a strop look at Tony's site.
http://shop.thewellshavedgentleman.com/
For Razors, look at these sites for new razors.
http://www.classicshaving.com/Home.html
http://www.shaving-and-razor-shop.com/NL/index-e.htm
http://www.styleandgrooming.com/
http://www.shavingshop.com/index.php?maincat=8
http://www.coltellerielivi.it/# (if you're in Europe, otherwise contact Lynn)
And for restored old razors.
http://www.billysblades.com/Straights.htm
http://shop.writerferret.com/
http://www.vintagebladesllc.com/vsho...ome.php?cat=80
Also check the 'For Sale' forum here for members who sell restored razors there. Restored old razors can be superb, my 2 best shavers are old razors and shave nicer than some of my megabucks new razors.
Regarding the ingrown hairs, I used to get loads of these every day when I used cartridge razors. I stopped getting them immediately when I started using DE razors and then straight razors, I believe the 'lift and cut' action of cartridge razors caused a lot of these ingrown hairs for me.
Cheers,
Iwan :)