Consumer electronics are generally multi-disciplinary projects encompassing product design, UI design, electronic engineering and software engineering.
The design of automated machines with mechanical actuators and electronic control (robots if you like) tends to be classified as mechatronics
So it really depends which particular aspect you are interested in. Mechanical Engineering will give you a fairly broad base but may also include elements of thermodynamics and fluid dynamics which are less relevant.
Broadly speaking it sounds like you should be looking at courses which cover
- Engineering/mechanical design (especially CAD)
- Product design
- Electrical and electronic engineering
- Software and computer science
- Control systems engineering
As well as the basic engineering staples like statics, kinematics, dynamics and materials.
Often engineering courses will have some sort of specialism and overall ethos. I would suggest that you look for course which have a practical, project based focus. You might find pure electrical or electronic engineering a bit narrow. And software design is a whole different thing.
It sounds like something with a product design focus would suit you. Of the standard courses maybe automotive engineering or a broad mechanical or general engineering course. In fact some of the biomedical engineering courses may be a good fit as these tend to focus on product development.
Up to undergraduate level the specific content probably doesn't matter that much as long as the course content is interesting and engaging, but it sounds like you would prefer something which take a practical, project based approach.
Typically an engineering degree indicates a reasonable level of understanding of the subject but isn't really a vocational qualification and professional engineers will generally need some additional level of industrial experience or higher level academic research based qualification to be useful.
Edit in response to comment by OP.
Whether or not formal education is the best path is somewhat subjective. Formal qualifications are certainly not essential but you will certainly need an alternative strategy for getting the sort of technical knowledge which definitely is essential.
Clearly there are also significant advantages in terms or a career and employment in having recognised qualifications.
To be honest unless you have a very clear idea of exactly what alternative route you have in mind then a structured course is probably a sensible option.
Also at this stage you aren't really committing yourself to a specific field and the base skills you will learn are eminently transferable.
However if you are unsure it is also a good idea to look in more detail into course syllabuses and get a better idea of the precise content.