Calculating calories burned at work?

It's your job - you do it daily so really you shouldn't count it as exercise. Instead, if you are using MFP, set your settings to lightly active. OR - if you are doing TDEE less 20% there's a spreadsheet on here that's really helpful

http://www.myfitnesspal.com/topics/show/717858-spreadsheet-bmr-tdee-and-deficit-calcs-macros-hrm

It's helped me tremendously

I do strength exercises every other day and jog/bike on the other days.

I honestly don't feel exhausted by walking. I feel perfectly normal dispite high resting heart rate. Im in healthy weight for my height as well. 137 at 5'3

HRM might be useful for the biking. Not for strength training, which isn't aerobic if done right, and isn't steady-state HR at all.
Strength training just log as that from database. It may seem low compared to equal time cardio, but that is very true.

Jogging, the database can actually be more accurate than HRM - IF, if you select a speed you actually did the whole time level. Round down if needed, unless you had incline, then round up.
If you warm-up walk 5 min, jog slow 4-5 mph, finally reaching 7 mph, and then walk 5 min cooldown - logging that as running 7 mph is obviously wrong and will be inflated calorie burn.
If you went total distance 6 miles in 1 hr workout, then of course average of 6 mph, then that's what it's logged for.

Biking, the database is only decent if you went 60 min or more and didn't have many stops for lights or signs, and again are honest with the speed. With a long non-interrupted ride, the up/down hill will cancel each other, head/tail wind will too, meaning your avg speed is good. But start and stop with resting time waiting for light, and coasting down and sprinting off, all ruin the estimate.
At the least, total time (minus stops) and distance of the ride gives an average that will be underestimated in database.
Inaccuracy there would likely be about the same as inaccuracy of HRM.

And a workout doesn't have to feel exhausting to be beneficial.
In fact if you had a good lifting workout, and really tore up the muscle fibers, you do an intense cardio session the next day leaving you exhausted, you likely just killed the repair process from the lifting, compared to what it could have been.
And if you do a hard exhausting run, and the next day do leg strength training, you likely won't be able to lift as much with tired muscles. If you can't overload the muscles with weight because of tired muscles, you aren't creating a need to repair stronger.

And since recovery and repair take longer in a diet, that's bad for either workout.
Day after day of exhausting workouts will at some point be mediocre after mediocre workouts - might feel the same, but totally different response from the body.

And if your cardio is training your body to shoot the HR up to almost max you can do, that lower end resting HR will be very slow if at all to respond by going lower.

Sounds like you should spend some time walking.