The next day we packed up the buggy and walked straight through the city to cross the river and climb up to a good vantage point to see the view. One of our favourite things to do in a new place is to explore by foot, and Budapest is quite sprawling but small enough to walk around from point to point too.. We walked up towards the Citadella, and hung out at the kids' park for a bit, then walked along the river towards Budapest Castle, where we got the funicular up to the top. The views over the city were amazing, so pretty and just what you'd imagine - the parliament buildings in particular look so iconic on the skyline.
From there we crossed back over the river, and there was a Spring festival happening, where we sat and ate some amazing Hungarian street food, had a few beers, and looked around the craft market. It was so colourful, and there was a park nearby with a sunken bar area - the girls hung out on the grass and we took it easy for the afternoon - all tired and needing to relax after travelling in the days before. We decided to take the rest of that first day easily, and hung out back at our accommodation before heading out for tapas on the night (which, it's worth mentioning, was so, so cheap and so good - about £35 for three of us including wine and beers..).