Welcome to the forum, mmatisoff!! In case no one has said that yet.
They say a picture is worth a thousand words, but in this case, a video (with sound) might be very useful. Are there any particular notes that are giving your trouble (i.e, low notes, high notes, any notes)?
If you have notes that sound good to you, then try playing those notes (long tones) and then move either up or down to the next higher/lower note and try to get the same good sound. If you are just beginning with euphonium, you will have many starts and stops so to speak. But try to get a good regimen going. Start each practice session with some long tones. Then perhaps some slurs. Then work on scales. Learn a couple of the major scales (learn them all eventually and minors) and play these up and down with different articulations (slurring, tonguing, different rhythms, different tempos). Try to play two octaves on each scale. Get a book with nice melodies in it and play one of those every time you practice. Get a sound that you would like to hear.
Are there any low brass teachers around? Most any competent low brass (trombone, tuba, euphonium) teacher could probably take a look at you and provide some solid advice and guidance. If you are just starting with euphonium, it might be useful to have someone check out your embouchure and other things so that you don't develop any bad habits as you gain more experience with the euphonium. And a lot of music teachers have gone to Zoom or other things like it to keep their students and lessons going, even if not in person. They can see you and tell you things about your playing. And also if your house needs vacuuming. That is the part I don't like.
Without being able to look and hear you, it is not easy to say with precision what things you might do to un-wobble yourself. But you have clearly picked the most beautiful instrument to play, so that part is solved!
John Morgan
The U.S. Army Band (Pershing's Own) 1971-1976
Adams E3 Custom Series Euphonium, Wessex EP-100 Dolce Euphonium, 1956 B&H Imperial Euphonium
Adams TB1 Tenor Trombone, Yamaha YBL-822G Bass Trombone
Wessex TE-360 Bombino Eb Tuba
Rapid City New Horizons & Municipal Bands (Euphonium)
Black Hills Symphony Orchestra (Bass Trombone), Powder River Symphony, Gillette, WY (Tenor Trombone)
Black Hills Brass Quintet (Tuba)
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