I moved to Petersfield from SW London seven years ago. It's very, very different from London and has quite an older profile. I'm 60 and sometimes feel quite "young" here!
It's a lovely market town that's in the middle of a national park. It's very Conservative, gentile, calm and attractive. A host of useful shops together with independents - though the High Street does have empty units that normally get snapped up again. I've seen a fair few come and go even in these short years.
A range of housing stock and most properties are easy walking into town, the train station etc unless on the outer fringes. Two fast trains an hour and two slow. You would want the fast trains and it's circa 1 hour 6 minutes or so into Waterloo. A reliable service and my partner does it once/twice a week post covid. I work from home. It would do my head in the commute, but I'm used to circa 12 minutes into Waterloo from where I used to live in SW London!
Don't underestimate the cost of commuting from this distance. I think a daily return during working hours is £60 ish. Season ticket pre covid was over £5k.
Other public transport is dire. I can't tell you how much I miss TFL. Buses run perhaps once an hour and stop during large portions of the day and end early at 6pm/7pm. Taxis cost a fortune and Uber or similar doesn't exist. But there is a train station.
Where do your parents live?
It's easy to get to a range of beaches. The closest being Hayling Island and Southsea. Lee on Solent is also lovely. Circa 50 minutes to West Wittering and options that way as well. Not far to the New Forest either with all that has to offer.
Bigger shopping at Guildford (or Chichester) or even Southampton for Ikea and West Quay. Having said that Petersfield is blessed with excellent day to day shopping and it's both practical and useful with Waitrose, M&S Food, Tesco and Tesco Express, Lidl and Aldi together with Boots, Superdrug, Poundland, Waterstones, Smiths, Robert Dyas, Mountain Warehouse, Mint Velvet, Grape Tree, Holland & Barratt, Chemists, Butcher, Gails, and many others with some good independents. Twice weekly market on Wednesday and Saturday.
A range of restaurants and pubs - all easily walkable. Taro Leisure centre and various other sports facilities.
But London it is not. It's quiet and sedate and a World away from the metropolis of the capital - though just a train ride away. It is considered one of the jewels of East Hampshire and the housing market and council tax reflects that. It has the highest council tax in East Hampshire.
It's whether the commute, and the cost of the commute, is worth it for you.
I hope this helps. It's surrounded by beautiful countryside, easy access to the coast, A3 back to London, circa 1.hr15 to Gatwick etc.