+1
I was in a similar position, looked at loads of houses, hated most of them, then we viewed one that was perfect for us. went for a second viewing with the intention of making an offer after seeing it a second time.
Without our rose-tinted-glasses we actually realised the offer we were going to put in was a bit high because of some of the work that needed doing to it (nothing major, just stuff we overlooked - mostly decor) I put in an offer way lower than I was going to and didn't feel at all daft about it as it was completely justified.
naturally they haggled back up and I met them just over half way (by 500 quid) again and settled for something that was still 7K under what I was going to offer.
so yea, I'd go for a second viewing, consider your offer further, and then definitely go lower as you only really get one chance at A) a low offer, and B) being a first time buyer.
your second option would be, if you have already offered - to go for a second viewing and then submit a revised, lower offer after seeing it again - but then you're messing them around.
edit:
for an example, the house I'm buying was:
-listed for 180
-reduced to offers over 170
-I was going to offer 169 / 170 - it was 'the one'
after second viewing I realised I should offer lower and the estate agent tipped me off when I said I think I'm going to offer 160 - she hinted that they would probably take that.
-I put in an offer for 160
- they said they would take it off the market for 165
-I said I would meet them more than half way at 163 to show a bit of respect and willingness, but that was my final offer (don't get scared!)
-they accepted
So if you want to pay 136, offer lower and work your way back up to it if you have to.
That being said, well done! good luck with solicitor roulette! try and get a recommendation if you can as some of them (ours) can be rubbish!