Good bike. That's what I started with when I resumed cycling last year. It's my errand bike now, fitted with a rear rack and grocery panniers, or a trunk bag or milk crate.
But for managing an oxygen bottle and the hose you'll want a front rack. A handlebar bag might be an option, but only if the bottle/concentrator isn't too large and heavy. For one thing, you don't want the hose getting tangled in the chain or rear wheel, your legs, etc. For another, you need to be able to easily glance at the tank meter.
Fortunately the Globe Carmel frame and fork are fitted with plenty of lugs and eyelets. The fork has heavy duty eyelets for mounting fenders, racks, etc. And the tall adjustable quill stem and riser handlebar offer plenty of room to mount accessories.
The only hindrance is from the brake and shifter cables looped in front of the handlebar. So if you're not comfortable with making adjustments talk with a local bike shop about installing a front rack. They may need to trim the cables or route the cable loops differently. And some of the Carmels routed the cable internally through the top tube while others (like the photo shown in your original post) ran outside the tube.
Good racks range from around $50-$60 for an
Origin8 porteur rack to the more elaborate and expensive
porteur racks from Soma and Velo Orange.
The tricky bit will be choosing a rack to suit the Carmel suspension fork's eyelets. Some racks come with telescoping legs to adjust to pretty much any fork. My other bike has a rigid fork and eyelets midway on the fork tubes, but not near the ends of the fork by the wheel mount, so my front rack with long fixed legs needs a clamp that wraps around the fork -- a makeshift solution. The Globe Carmel is better suited to supporting a heavy duty rack.
An alternative is a handlebar mounted basket. A
wire mesh basket would be easiest, but Wald also offers good wire frame baskets, both fixed and folding. With a handlebar basket you'll definitely need to re-route the cables, which is a job for a bike shop or experienced bike repair friend -- they'll need cable cutters, etc., and some adjustments may be needed to ensure the brakes and shifters work as expected. The cables for the brakes and shifters face inward toward the stem, making it tricky to mount a basket even though the stem and handlebar have plenty of room. In fact, in order to accommodate a front basket on the Globe Carmel, it might be better to install *longer* cables rather than cutting the existing cables. Longer cables could be gently curled and zip-tied to the handlebar or head tube to make room for the basket. If the cables are cut too short the cables might need to be bent to make room, which would interfere with proper braking and shifting. Again, that's a good job for a bike repair tech unless you have the tools and patience to tackle it yourself. Personally, I'd go with a porteur rack.
The oxygen bottle frame holder another person linked to in this thread might work mounted to the handlebar or stem even on the inside facing toward you. Be sure it will clear your knees while pedaling. I do mount small bags on the handlebar facing toward me and even with my long legs on a Globe Carmel frame that's slightly small for me, there's still room without my knees hitting the bags.