Congratulations!
The instructions for filing for a foreign spouse are in this link: http://www.visajourney.com/content/i130guide1
Your husband has to start the process in the US by filing the I-130. The entire process should take between 10-13 months and there are a ton of people here that have gone through the process in the UK.
Stay the course and take care!
p.s. On a UK passport you can visit your husband stateside under ESTA while your process is underway.
SuzieBeyor83 reacted to JohnR! in UK Citizen recently married US Citizen in UK, UK Citizen moving to US to be with husband