High-Volume Webmail Recommendation Needed

I need to consistently send well over 3,000 emails a day and still land in the inbox, not the spam folder. I’m completely open to your suggestions on which web-based platform—or combination of SMTP relay, ESP, or dedicated server—will give me the best possible deliverability.

To make this useful, please draw on real-world experience: compare the leading options, outline their sending limits, reputation management tools, bounce handling, warm-up policies, and any compliance steps I should follow. If DKIM, SPF, or other authentication tactics will noticeably improve placement, include those recommendations as part of the solution even though I haven’t mandated them.

Deliverables I expect:
• A concise comparison of at least three viable high-volume providers, including pros, cons, and indicative monthly pricing.
• Your final recommendation with a clear justification focused on inbox rate and scalability.
• A practical step-by-step outline for initial setup and sender-reputation warm-up so I can start sending immediately after I choose a service.

Please keep the explanation straightforward, grounded in current best practices, and free of unnecessary jargon.