fitening up for a hiking tour will be a really nice way to get fitter.
BP is outstandingly good, HR is at the high end of average so healthy. Bodyweight appears a little high but without knowing your buuild etc. I am not going to say as you could have door filler shoulders and this be perfect.
BMI is to be taken with a huge dose of salts. Genetically mine is ridiculously low and through years of training I have put myself right in the middle of the overweight band wit 15 - 17% body fat. My wife is genetically gifted for powerlifting and her BMI was always high but at her best she was lifting at European competition standard. You can figure out if you are carrying too much weight or not farly easily.
What I am going to give you as a measure of improvement could be deemed a bit excessive but I will explain it. I would like you to target the resting heart rate and bring this down in the time leadin up to the trip. The stronger your heart the more blood it can push through each beat and the less often it has to beat at rest. When hiking you will need to be able to fuel your entire body for long durations of walking while carrying weight in your pack, the main thing you will be challenging throughout will be your cardiovascular system so this has to be strong enough to keep you going.
I don't know where you live and how easy it is to get to places to go hiking but this is definately the best preparation you can do for a hiking holiday. Get a small pack load and get walking. Keep you pace constant but routes varied so the intensity will vary based on terrain and gradiant. Over time build up the pack size and distance, pace is only an issue if you will be wanting to rush the holiday.
It would obviously be more pleasant if this was done in picturesque surroundings where you can take occasional breaks to eat and drink, but if that isn't practical a varied route around streets and houses will do the same for you physically. I would say if going for the latter don't take binoculars, as bird watching is often frowned upon in built up areas.
Running and other training will help your fitness, but there is nothing beats hiking to prepare you for hiking. I have gone out with people who were very fit, a few of them marathon runners, and within 5 or 6 hours they were suffering from the packs on their shoulders and backs, tired legs, sore feet etc.
Practicing will also help you find out the best kit to use. There are some very expensive packs and boots out there, and I am fussy on the packs, but boots are always military surplus as the pricy versions give too much ankle support for me. Basically find what works for you and get it, unfortunately the price will have to be lowest priority, so if the boots you need are expensive, start saving.
First and foremost as always, enjoy it. Obviously you like good views so the hiking will be easy to enjoy, but other training can be virtually anything so if you really hate something ditch it and move to something else.