BOH Bus Links
Expressflight
There is a very good bus dedicated bus service from Bournemouth train/coach station direct to BOH, takes about 20 minutes, its pricey but very easy and convenient. I managed easily travelling alone with two suitcases as there I went straight from the platform to the bus (no steps or stairs) and the bus has loads of suitcase stowage space. Agreed a regular local bus would be a mare but this is so easy as it is designed for airport pax with luggage, only downside is that service is only hourly but given the number of lfights at BOH I guess that's no surprise.
Personally I find the long slog from the Tube station at LHR to T1 or T3 much more stressful as there are staircases and escalators involved and a long underground walkway before more steps into the terminal itself....if I was more patient I suppose I could wait for the lifts!