domain name and web hosting recommendations please?

[what..the?]

What companies/websites would you use I want to use separates, so I keep ownership of my domain long term.

Thanks in advance

ones looked at so far
123reg
names.co.uk
1&1

[redcrx]

for work we use 123reg and 1&1 and have had no issues.

[asmae]

I ask you to use best performance Godaddy for Domain name and hostgator for hosting.
when you make decision to use them this is a coupon from me to host your site for $0.01 the 1st month :) coupon : couponsfriends

[TTG]

Ask if the hosted site is indexed by google or do you have to pay extra.