Both my sons had reflux, ds1 just vomited with no pain, ds2 arched his back, took tiny feeds, screamed when lay down etc etc The HV didn't care because he was gaining weight but I was exhausted because he was hungry due to the tiny feeds so I fed him about 10 times a day!
With ds2 we had tried gaviscon but it didn't help, so we saw a paediatrician at Bupa who said he would want to try him on formula first rather than meds.
We were prescribed Enfamil AR (anti-reflux) which is a formula that thickens on contact with stomach acid so you can use the normal teat on the bottle ie it doesn't thicken in the bottle. See here
You can get it from a pharmacy (without a prescription) we got ours from Boots. They just ordered it in for us. We were fortunate that we were given it on prescription from the beginning.
I used a sling to carry ds2 around and to be completely honest, in the day he slept semi upright on me (I am a SAHM so this was a possibility) or in the pram if we were taking ds1 to preschool. His cot was propped for night time and the paediatrician told us to give him a dummy to help keep everything down.
We were told to try early weaning at 17 weeks with starchy stuff only like potato or sweet potato but that didn't work for us so we went with baby led weaning at 6 months.
Ds2 was on the Enfamil till he was 14 months old, we kept trying cow's milk but he didn't like it, ditto follow on milk.
I will tell you that he has finally stopped refluxing at age 7 years! It would only happen at night and only once a week or so. I hope this helps.