How to go faster?

My commute is 20 miles each way at the moment, mostly flat . I tend to drive half way 2 days a week otherwise it's a bit much.
I'm currently doing it between 1hr05m and 1hr10m which isn't bad, but I've been doing that kind of pace all through the winter and I want to be breaking the magic 1 hour mark.
I find that I really struggle with the first 7-10 miles, particularly going up even modest gradients. After that I'm happily pedaling along at 20-25 mph on the flat and loving it.
Has anyone got any tips on how I can (sensibly) get faster over the first few miles? I don't really want to be doing 15 minutes warning up on rollers or necking energy gels at 6:30 in the morning.
I'm currently doing it between 1hr05m and 1hr10m which isn't bad, but I've been doing that kind of pace all through the winter and I want to be breaking the magic 1 hour mark.
I find that I really struggle with the first 7-10 miles, particularly going up even modest gradients. After that I'm happily pedaling along at 20-25 mph on the flat and loving it.
Has anyone got any tips on how I can (sensibly) get faster over the first few miles? I don't really want to be doing 15 minutes warning up on rollers or necking energy gels at 6:30 in the morning.
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I sit down to breakfast (just cereals and fruit juice) about 30 mins before setting off and only need about 1/2 mile to get up to speed, but if you haven't eaten anything at all you may not have a ready blood sugar content.
I copied my rides from strava onto veloviewer and looked at the average power. If I split it at 6/14 miles is about the same in each bit. If i split it at 8/12 miles, or 10/10 miles then per in the second part is about 20w more.
I need the car at work tomorrow, so I'll have breakfast and go for a ride when I park up which will give about 30 mins from breakfast to riding and see if it helps.
Bit of instant energy needed - banana, dried fruit? And by the way - good going on the speed; the roads I cycle on preclude averaging 40kph - but I am not sure I could do it first thing in the morning anyway even if they cleared the roads for me :-)
Toast & black coffee isn't giving you much energy - cereal (porridge, weetabix etc) with milk & sugar is. At least try something on toast like marmalade or cheese.
Fit tribars. My 20.8m commute takes 1:03 - 1:15 depending on many variables, PBs are 59:56 when I just went for it from the off, and 56:35 doing the same but with tribars in place. The commute is a TT, may as well treat it like one.